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Research on Euclidean Algorithm and Reection on Its Teaching

Euclid算法研究及其教学反思

作     者:ZHANG Shaohua 张韶华

作者机构:School of Mathematics and StatisticsYangtze Normal UniversityChongqing 408102China 

出 版 物:《应用数学》 (Mathematica Applicata)

年 卷 期:2025年第38卷第1期

页      面:308-310页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Supported by the Natural Science Foundation of Chongqing(General Program,NO.CSTB2022NSCQ-MSX0884) Discipline Teaching Special Project of Yangtze Normal University(csxkjx14) 

主  题:Euclid's algorithm Division algorithm Bezout's equation 

摘      要:In this paper,we prove that Euclid s algorithm,Bezout s equation and Divi-sion algorithm are equivalent to each *** result shows that Euclid has preliminarily established the theory of divisibility and the greatest common *** further provided several suggestions for teaching.

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